Course in the Theory of Groups

9780387944616

ISBN:

0387944613

Edition: 2Pub Date: 1996Publisher: Springer

Summary: A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra... such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.

Robinson, Derek J. is the author of Course in the Theory of Groups, published 1996 under ISBN 9780387944616 and 0387944613. One hundred fifty five Course in the Theory of Groups textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $60.33, or buy new starting at $84.64.[read more]